Home / 1,066.20-1,598.70-416.18

Finding the Fourth Proportional to 1,066.20, 1,598.70 and 416.18

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Solution

The fourth proportional to 1,066.20, 1,598.70 and 416.18 is: 624.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.20 : 1,598.70 = 416.18 : x
  2. Step 2: Convert to fraction form
    1,066.20/1,598.70 = 416.18/x
  3. Step 3: Cross multiply
    1,066.20x = 1,598.70 × 416.18
  4. Step 4: Simplify right side
    1,066.20x = 665,346.97
  5. Step 5: Solve for x
    x = 665,346.97/1,066.20
  6. Step 6: Final answer
    x = 624.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.